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4270019040 = 253257371072
BaseRepresentation
bin1111111010000011…
…0101000111100000
3102000120210102221100
43332200311013200
532221111102130
61543413154400
7210546364050
oct37640650740
912016712840
104270019040
1118a1350561
129b202ba00
135308530b1
142c7161560
1519ed10c60
hexfe8351e0

4270019040 has 432 divisors, whose sum is σ = 17264493792. Its totient is φ = 940750848.

The previous prime is 4270019011. The next prime is 4270019101. The reversal of 4270019040 is 409100724.

It is a happy number.

4270019040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4270018995 and 4270019013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39906667 + ... + 39906773.

It is an arithmetic number, because the mean of its divisors is an integer number (39964106).

Almost surely, 24270019040 is an apocalyptic number.

4270019040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4270019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632246896).

4270019040 is an abundant number, since it is smaller than the sum of its proper divisors (12994474752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4270019040 is a wasteful number, since it uses less digits than its factorization.

4270019040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4270019040 is about 65345.3826983973. The cubic root of 4270019040 is about 1622.3452086931.

Adding to 4270019040 its reverse (409100724), we get a palindrome (4679119764).

The spelling of 4270019040 in words is "four billion, two hundred seventy million, nineteen thousand, forty".